Graduate school on Geometry of Teichmuller spaces April 15-19, 2019

Teichmuller theory and moduli spaces of Riemann surfaces have a special role in modern mathematics: they have been a fruitful playground for ideas and methods from complex and algebraic geometry, topology, analysis, and more recently dynamical systems. The main goal of this graduate school is to give the students the opportunity to learn about the various geometric structures on Riemann surfaces and their moduli, and related concepts in Teichmuller theory.

The core of the school will be four mini-courses given byRichard Canary (University of Michigan)Carlos Matheus (CNRS- Ecole Polytechnique)Yair Minsky (Yale University)Scott Wolpert (University of Maryland)

The topics covered will include the metrics on Teichmuller spaces; coarse geometry and combinatorics of geometric structures on Teichmuller spaces; totally geodesic subvarieties of the Teichmuller space and SL(2,R) actions, with relations to polygonal billiards; higher Teichmuller theory and representation varieties. The mini-courses will be complemented by a few survey research talks by local experts.

The workshop is funded by the National Science Foundation through an RTG grant to the Simons Center and the Department of Mathematics.